Vishal’s Square Logic – A Simplified Computational Method for Two-Digit and Three-Digit Number Squaring

Abstract This paper introduces a novel mathematical approach called Vishal’s Square Logic (VSL) for calculating the squares of two-digit and three-digit numbers using a structured block-based and carry-flow method. Unlike traditional algebraic or Vedic math techniques, VSL simplifies the squaring process by segmenting the number into left, middle, and right computational blocks corresponding to A², 2AB, and B², with a defined carry-shifting rule. This method significantly reduces computational complexity and enhances manual and mental calculation efficiency.